171431680 has 216 divisors, whose sum is σ = 504639072. Its totient is φ = 54632448.

The previous prime is 171431657. The next prime is 171431707. The reversal of 171431680 is 86134171.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234534 + ... + 3234586.

It is an arithmetic number, because the mean of its divisors is an integer number (2336292).

Almost surely, 2^171431680 is an apocalyptic number.

171431680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252319536).

171431680 is an abundant number, since it is smaller than the sum of its proper divisors (333207392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171431680 is an equidigital number, since it uses as much as digits as its factorization.

171431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 171431680 is about 13093.1921241537. The cubic root of 171431680 is about 555.5165820364.

The spelling of 171431680 in words is "one hundred seventy-one million, four hundred thirty-one thousand, six hundred eighty".